Question

Which of the following is true?
(A) $Csp=Cm\times Molar\text{ }Mass$
(B) $Cm=Csp\times Molar\text{ }Mass$
(C) $Cm-Csp=Molar\text{ }Mass$
(D) $Cm+Csp=Molar\text{ }Mass$

Answer 1

Hint : We know that we will determine the mole of water by using mole formula. Then by using a heat formula we can determine the temperature increases. The heat required for the increase in temperature is determined as the product of mass and heat capacity of that compound and temperature difference.

Complete Step By Step Answer:
To understand and solve this question, we will have to first understand the molar specific heat capacity at constant pressure and at constant volume. We will also use the relationship between them to finally get our solution. Molar heat capacity depends on the number of atoms present in a molecule and whether the system is adiabatic or not. That amount of energy that must be added in the heat form to one mole of substance in order to increase one unit of the temperature is called molar specific heat capacity.
Molar heat capacity is the closely related property of the substances. In which the heat capacity of the sample is divided by the moles of the atom instead of the moles of molecules. That amount of energy that must be added in the heat form to one mole of substance in order to increase one unit of the temperature is called a molar specific heat capacity. The value of the molar volumes of the solid elements roughly equals constant and therefore the molar heat capacity of the solid is also the same. At the higher end of the heat capacities, the heat capacity will exceed the value of the gas constant. Thus, correct statement is molar heat capacity at constant pressure $~\left( kJ/kmol-K \right)$ equals to Specific heat capacity at constant pressure $\left( kJ/kg-K \right)$ multiplied with molecular weight $\left( kg/kmol \right).$
$\therefore Cm=Csp\times Molar\text{ }Mass$
Therefore, the correct answer is option B.

Note :
Note that the heat required to increase the temperature of a substance by one degree Celsius is known as heat capacity. The heat required to increase the temperature of one gram substance by one degree Celsius is known as specific heat capacity. The molar heat capacity of water at constant pressure.