Question

Specific heat at constant volume of a monoatomic gas is 0.75 cal/g. 1 mole of this gas requires 3 cal of heat to raise the temperature of 1 mole of this gas. The heat required to raise the temperature through 1${}^o$C of 1-mole gas at constant pressure is:

• A. 5
• B. 6
• C. 3
• D. 7

Answer 1

The correct option is A 5

For a monoatomic gas, $C_P-C_V=R$

Given,

$C_V=3calmo{l}^{-1}$ ${}^0{C}^{-1}$

$R=2calmo{l}^{-1}$ ${}^0{C}^{-1}$

Substitute values in the above expression

$C_P-3calmo{l}^{-1}$ ${}^0{C}^{-1}$ $=2calmo{l}^{-1}$ ${}^0{C}^{-1}$

$\Rightarrow C_P=5calmo{l}^{-1}$ ${}^0{C}^{-1}$

Hence, the correct option is $A$