Question

Internal energy of two moles of an ideal gas at a temperature of ${127}^o$C is $1200$R. Then, the specific heat of the gas at constant pressure is?

• A. $0.5$ R
• B. $0.1$ R
• C. $1.5$ R
• D. $2.5$ R

Answer 1

The correct option is C $1.5$ R

Given internal energy of two moles of gas =1200 R and temperature=${127}^0$C$=400K$

Also $U=m{C}_{p}T$where $m{C}_p$=specific heat

Specific heat$=\frac{U}{T}$

$=\frac{1200R}{400}$

Thus specific heat of two mole of gas =3 R

So specific heat of 1 mole of gas =1.5 R