Chemistry-
General
Easy
Question
The correct order of acidic strength is:
The correct answer is: ![A l subscript 2 O subscript 3 less than S i O subscript 2 less than P subscript 2 O subscript 3 less than S O subscript 2](data:image/png;base64,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)
Acidic character of oxides increases along the period.
Related Questions to study
maths-
Let E (
) =
. If
and
differs by an odd multiple of
/2,then E(
) E(
) is a -
Let E (
) =
. If
and
differs by an odd multiple of
/2,then E(
) E(
) is a -
maths-General
maths-
If A is a n rowed square matrix, A = [aij] where aij=
, [ ] denotes greatest integer, then det (A) =
If A is a n rowed square matrix, A = [aij] where aij=
, [ ] denotes greatest integer, then det (A) =
maths-General
maths-
If A =
, then A + 2AT equals -
If A =
, then A + 2AT equals -
maths-General
maths-
If
is to be square root of two rowed unit matrix then
,
and
should satisfy the relation
If
is to be square root of two rowed unit matrix then
,
and
should satisfy the relation
maths-General
maths-
If the matrix Mr is given by Mr =
, r = 1, 2, 3 .... Then the value of det (M1) + det(M2) + .... + det (M2009) is
If the matrix Mr is given by Mr =
, r = 1, 2, 3 .... Then the value of det (M1) + det(M2) + .... + det (M2009) is
maths-General
maths-
The number of solutions of the matrix equationA2 =
is -
The number of solutions of the matrix equationA2 =
is -
maths-General
chemistry-
Helium was discovered by:
Helium was discovered by:
chemistry-General
chemistry-
For a general reaction given, below the value of solubility product can be given as :
![](data:image/png;base64,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)
or ![K subscript s p end subscript equals x to the power of x end exponent y to the power of y end exponent left parenthesis S right parenthesis to the power of x plus y end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIAAAAAVCAYAAACOleY7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAA6BJREFUeNrtWl9kHEEcXqfWiSh1oiqiREUeToRTVVFVqk7FOaEqIqJKVETdQ6k+1KkIkYeIqlIVdaLCiXuoilB5qDinVJ1TESGqD30KFVERJ2x/U9/q3NzMdnd2m+wm9/Gxu7cztzu/7/dv7gzj5GOd2IfjGHGVeNHD+O/Ec5LrFWIvjieIMx7mnMGYIGAZLThikLiE4znikMfxBcmYx8SnOO6DGLyizAnTj2CtAATcgH18MY/LWIj2iIqgSswRX2uMvUt8yZ1fIn7i1ogZsl8y7gzxGfEH8QBj0tznKRjbr2AtnwJuAHu5mnDtGnE64lHgOXGTaGqMvUD8yp1/hPEMGL6sGPeOmIVQ4sR7xKLE21MagrUc6FXADWAP/FZQ43jEjX8THrVB7NCcYwthdEJwhlnipOT+G5wXO+GhonbwIljLh4CbkEd4sI2fDqlR7ysWbgqf2ejCC7fDeFPC/QvwEBE5wdALuPYF3mxjFRFSxAhxzcV7XJXc51Wwlg8BN6GIKJBVFChBwnJBJzBjnOfOWYh9wZ2bCLE93Pm2UMeMwYt5tGHBEty1O8jjorH3FF7ahVqqCA9UwcQcbgWrKwCVgKVKYeHnVgRCexpFku01axpz3Jbk5bykQBoX8qiNQ4e5+/FMvzBfTHFf3YNgdaEScANiUC1blG+K1iFs+EC8jqIpoTE+IeTHDix6XPDKqsIQhy6+YxjrWlbMUT+CdVIJuAFXEH4YHhHfhzwF2Lm67jNd7XPHc5jTLfZcFmrM8IuSyCKmgP8BJwE3KbUg9I/5EHv/AHEZRhv2MQ8Lu93gtkOoVkWgAZf3jiIX/6sIPNZe+YGwkbEe0k6gG312G5T9WTMF2ELPoP0d9ThW1QbKsIjOisekpAg9NpSQ/w0hJ1YRRsRWpYYcyEJ1J65voq1i1eYuNhw6A35O9kwrgsEHscA6yMEzaxpjZRtBLNc+Mf5us55FJF1WRJ9UWATwU9EiJFEbxLliccdo3p+OQRDTnNFZaH4V4DOaEKpMVEua0SoLEWc0n6ki1CBJiPEA9UlF2JuwodoKDj1MvNyQQxHJt2qlkL9PxtD7McdG0D8GRQJjiBgVhDgDob8gKSzfhPxdVlCM+QGrnbz8HDxrRH+L/U/xVcUmA8O8pKApGPKt1rAgeQTt7okFK8Y2uGKnhDbK3m3qxYaS2Vqqk4VdFE3sjwYj3PUdGH0L6YG1aT2t5TodMCGMFk4pWLVfbC1D9PAbGLznVKcY6ggAAAEZdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPks8L21pPjxtcm93PjxtaT5zPC9taT48bWk+cDwvbWk+PC9tcm93PjwvbXN1Yj48bW8+PTwvbW8+PG1zdXA+PG1pPng8L21pPjxtaT54PC9taT48L21zdXA+PG1zdXA+PG1pPnk8L21pPjxtaT55PC9taT48L21zdXA+PG1vPig8L21vPjxtaT5TPC9taT48bXN1cD48bW8+KTwvbW8+PG1yb3c+PG1pPng8L21pPjxtbz4rPC9tbz48bWk+eTwvbWk+PC9tcm93PjwvbXN1cD48L21hdGg+2VvHCAAAAABJRU5ErkJggg==)
Solubility product gives us not only an idea about the solubility of an electrolyte in a solvent but also helps in explaining concept of precipitation and calculation of H+ ion, OH- ion. It is also useful in qualitative analysis for the identification and separation of basic radicals.
Which metal sulphides can be precipitated from a solution that is 0.01 M in Na+ , Zn2+, Pb2+ and Cu2+ and 0.10 M in H2S at a pH of 1.0 ?
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)
For a general reaction given, below the value of solubility product can be given as :
![](data:image/png;base64,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)
or ![K subscript s p end subscript equals x to the power of x end exponent y to the power of y end exponent left parenthesis S right parenthesis to the power of x plus y end exponent](data:image/png;base64,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)
Solubility product gives us not only an idea about the solubility of an electrolyte in a solvent but also helps in explaining concept of precipitation and calculation of H+ ion, OH- ion. It is also useful in qualitative analysis for the identification and separation of basic radicals.
Which metal sulphides can be precipitated from a solution that is 0.01 M in Na+ , Zn2+, Pb2+ and Cu2+ and 0.10 M in H2S at a pH of 1.0 ?
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)
chemistry-General
chemistry-
A weak acid (or base) is titrated against a strong base (or acid), volume v of strong base (or acid) is plotted against pH of the solution. The weak protolyte i.e acid (or base) could be
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)
A weak acid (or base) is titrated against a strong base (or acid), volume v of strong base (or acid) is plotted against pH of the solution. The weak protolyte i.e acid (or base) could be
![](data:image/png;base64,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)
chemistry-General
maths-
Let A =
and A' . A = I, then the value of
is -
Let A =
and A' . A = I, then the value of
is -
maths-General
maths-
If A is a n rowed square matrix, A = [aij] where aij =
, [ ] denotes greatest integer, then det (A) =
If A is a n rowed square matrix, A = [aij] where aij =
, [ ] denotes greatest integer, then det (A) =
maths-General
maths-
If A =
and f(x) = 1 + x + x2 + … + x16, then f(A) =
If A =
and f(x) = 1 + x + x2 + … + x16, then f(A) =
maths-General
maths-
Assertion : The expression n!(20 – n)! is minimum when n = 10.
Reason :
is maximum when r = m.
Assertion : The expression n!(20 – n)! is minimum when n = 10.
Reason :
is maximum when r = m.
maths-General
Maths-
Let a matrix A =
& P =
Q = PAPT where PT is transpose of matrix P. Find PT Q2005 P is
an invertible matrix gives identity matrix as the product when multiplied with its inverse.
Let a matrix A =
& P =
Q = PAPT where PT is transpose of matrix P. Find PT Q2005 P is
Maths-General
an invertible matrix gives identity matrix as the product when multiplied with its inverse.
Maths-
Let A =
& I =
and A-1=
[A2+CA+dI], find ordered pair (c,d) ?
the roots of the characteristic equation give us the eigenvalues of the matrix.
Let A =
& I =
and A-1=
[A2+CA+dI], find ordered pair (c,d) ?
Maths-General
the roots of the characteristic equation give us the eigenvalues of the matrix.