Statement 1: The ratio of specific heat capacity to molar heat capacity of a gas depends on the molecular mass of the gas. Statement 2: One mole of the gas contains its molecular mass in grams.

Question

Statement 1: The ratio of specific heat capacity to molar heat capacity of a gas depends on the molecular mass of the gas. Statement 2: One mole of the gas contains its molecular mass in grams. (A) Statement-1 is true, Statement-2 is false (B) Statement-1 is false, Statement-2 is true (C) Statement-1 is true, Statement-2 is true and Statement-2 is a correct explanation for Statement-1. (D) Statement-1 is true, Statement-2 is true but Statement-2 is not a correct explanation for Statement-1.

Tardigrade Admin · Accepted Answer

Statement-1 is true, Statement-2 is true but Statement- 2 is not a correct explanation for Statement-1.
Specific heat capacity

(c) = \frac{Q}{m Δ T}

Molar Heat capacity

(C) = \frac{Q}{n Δ T}

\frac{c}{C} = \frac{n}{m} = \frac{m / M}{m} = \frac{1}{M}

Q. Statement 1: The ratio of specific heat capacity to molar heat capacity of a gas depends on the molecular mass of the gas. Statement 2: One mole of the gas contains its molecular mass in grams.

Statement-1 is true, Statement-2 is false

Statement-1 is false, Statement-2 is true

Statement-1 is true, Statement-2 is true and Statement-2 is a correct explanation for Statement-1.

Statement-1 is true, Statement-2 is true but Statement-2 is not a correct explanation for Statement-1.

Statement-1 is true, Statement-2 is true but Statement- 2 is not a correct explanation for Statement-1. Specific heat capacity (c)=mΔTQ​ Molar Heat capacity (C)=nΔTQ​ Cc​=mn​=mm/M​=M1​

Q. Statement 1: The ratio of specific heat capacity to molar heat capacity of a gas depends on the molecular mass of the gas.

Statement 2: One mole of the gas contains its molecular mass in grams.

Statement-1 is true, Statement-2 is true but Statement- 2 is not a correct explanation for Statement-1.
Specific heat capacity $(c) = \frac{Q}{m Δ T}$
Molar Heat capacity $(C) = \frac{Q}{n Δ T}$
$\frac{c}{C} = \frac{n}{m} = \frac{m / M}{m} = \frac{1}{M}$