Question

$5\text{kJ}$ of heat is required to raise the temperature of $10\text{moles}$ of a gas by ${100}^{\circ }\text{C}$, at a constant volume. The specific heat capacity of the gas is $\left(\text{in J/ mol-K}\right)$

• A. $5$
• B. $25$
• C. $10$
• D. $13.4$

Answer 1

The correct option is A $5$

Given: $Q=5\text{kJ},\Delta T=100\text{K},n=10$
we know that, $Q=n{C}_v\Delta T$
$5\times {10}^3=10\times C_v\times 100$
$\Rightarrow C_v=\frac{5\times {10}^3}{10\times 100}=5\text{J/mol -K}$