Chemistry-
General
Easy
Question
Which of the following is correct-
-
- Equalequivalent ormilliequivalentof reactantsreacttogivesameeq.orMeq. of products
- Allofthem
The correct answer is: Allofthem
Related Questions to study
chemistry-
Which represent percent by strength-
Which represent percent by strength-
chemistry-General
chemistry-
What is the normality of 1MH3PO4 solution?
What is the normality of 1MH3PO4 solution?
chemistry-General
Maths-
Six faces of a balanced die are numbered from integers 1 to 6 This die is tossed 60 times and the frequency distribution of the integers obtained is given below Then the mean of the grouped data is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/432002/1/913742/Picture13.png)
Six faces of a balanced die are numbered from integers 1 to 6 This die is tossed 60 times and the frequency distribution of the integers obtained is given below Then the mean of the grouped data is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/432002/1/913742/Picture13.png)
Maths-General
Maths-
If 5 is added to each and every item of a data, then the A.M is
If 5 is added to each and every item of a data, then the A.M is
Maths-General
chemistry-
Find the molality of H2SO4 solution whose specificgravityis1.98gml-1and 95% by volume H2SO4
Find the molality of H2SO4 solution whose specificgravityis1.98gml-1and 95% by volume H2SO4
chemistry-General
chemistry-
Assertion: DH is positive for endothermic reactions.
Reason: If total enthalpies of reactants and products are HR &HP respectively then for an endothermic reaction HR<HP.
Assertion: DH is positive for endothermic reactions.
Reason: If total enthalpies of reactants and products are HR &HP respectively then for an endothermic reaction HR<HP.
chemistry-General
chemistry-
Assertion: Thechemicalreaction,3H2(g)+N2(g) →2NH3 shows decrease in entropy.
Reason: The process passes into equilibrium state when DGT,P becomes zero.
Assertion: Thechemicalreaction,3H2(g)+N2(g) →2NH3 shows decrease in entropy.
Reason: The process passes into equilibrium state when DGT,P becomes zero.
chemistry-General
chemistry-
Assertion: Atconstanttemp0ºCand1atm,the changeH2O(s)→H2O(I)DH and DE both are zero.
Reason: During is other mal process Hand E both remains constant.
Assertion: Atconstanttemp0ºCand1atm,the changeH2O(s)→H2O(I)DH and DE both are zero.
Reason: During is other mal process Hand E both remains constant.
chemistry-General
chemistry-
Assertion: For a particular reaction, heat of combusitionate contant pressure (qp) is always greater than that at constant volume (qv).
Reason: Combustion reactions are invariably accomplished by increase in no. of moles.
Assertion: For a particular reaction, heat of combusitionate contant pressure (qp) is always greater than that at constant volume (qv).
Reason: Combustion reactions are invariably accomplished by increase in no. of moles.
chemistry-General
Maths-
Mean deviation from mean of the data is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/431911/1/913587/Picture12.png)
Mean deviation from mean of the data is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/431911/1/913587/Picture12.png)
Maths-General
physics-
A frictionless track 12345 ends in a circular loop of radius R.
body slids down the track from point 1 Which is 6 cm. Maximum value of R for the body to successfully complete the loop is
![](data:image/png;base64,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)
A frictionless track 12345 ends in a circular loop of radius R.
body slids down the track from point 1 Which is 6 cm. Maximum value of R for the body to successfully complete the loop is
![](data:image/png;base64,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)
physics-General
physics-
A body of mass 1.5 kg slide down a curved track which is quadrant of a circle of radias 0.75 meter. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track. is ..... ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
A body of mass 1.5 kg slide down a curved track which is quadrant of a circle of radias 0.75 meter. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track. is ..... ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
The potential energy of a particle varies with distance
as shown in the graph. The force acting on the particle is zero at.
![](data:image/png;base64,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)
The potential energy of a particle varies with distance
as shown in the graph. The force acting on the particle is zero at.
![](data:image/png;base64,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)
physics-General
physics-
A spherical ball of mass 15 kg stationary at the top of a hill of height 82 m. It slides down a smooth surface to the ground, then climbs up another hill of height 32 m and finally slides down to horizontal base at a height of 10 m above the ground. The velocity attained by the ball is
![](data:image/png;base64,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)
A spherical ball of mass 15 kg stationary at the top of a hill of height 82 m. It slides down a smooth surface to the ground, then climbs up another hill of height 32 m and finally slides down to horizontal base at a height of 10 m above the ground. The velocity attained by the ball is
![](data:image/png;base64,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)
physics-General
Maths-
Mode of the following distribution is
![](data:image/png;base64,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)
Mode of the following distribution is
![](data:image/png;base64,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)
Maths-General