Molar heat capacity is the heat required to raise the temperature of one mole of material by one degree, since heat is not a state function, the amount of heat required to produce a given change in its state depends on the path followed Cp= Specific heat × Molecular weight. It is measured at constant pressure CV= Specific heat × Molecular weight. It is measured at constant volume The specific heat of a gas at constant volume is 0.075 cal / g. Predict the atomicity of the gas. Molar mass of gas is 40 g mol -1

Question

Molar heat capacity is the heat required to raise the temperature of one mole of material by one degree, since heat is not a state function, the amount of heat required to produce a given change in its state depends on the path followed Cp= Specific heat × Molecular weight. It is measured at constant pressure CV= Specific heat × Molecular weight. It is measured at constant volume The specific heat of a gas at constant volume is 0.075 cal / g. Predict the atomicity of the gas. Molar mass of gas is 40 g mol -1 (A) 3 (B) 2 (C) 1 (D) None of these

Tardigrade Admin · Accepted Answer

CV=0.075 × 40=3 cal Cp-CV=4 Cp-3=2 Cp=5 cal &gamma;=(Cp/Cv)=(5/3)=1.66 Thus, gas is monatomic

3

2

1

None of these

CV​=0.075×40=3cal Cp​−CV​=4 Cp​−3=2 Cp​=5cal γ=Cv​Cp​​=35​=1.66 Thus, gas is monatomic

$C_{V} = 0.075 \times 40 = 3 c a l$
$C_{p} - C_{V} = 4$
$C_{p} - 3 = 2$
$C_{p} = 5 c a l$
$γ = \frac{C _{p}}{C _{v}} = \frac{5}{3} = 1.66$
Thus, gas is monatomic