Question

Assertion:At constant pressure when a gas is heated from 40 to 41${}^0$C, the increase in volume is $\frac{1}{273}$ of its initial volume at 273 K

Reason:Volume coefficient of gas is ${\frac{1}{273}}^{0}C$

• A. Both assertion (A) and reason (R) are correct and R gives the correct explanation
• B. Both assertion (A) and reason (R) are correct but R doesnt give the correct explanation
• C. A is true but R is false
• D. A is false but R is true

Answer 1

The correct option is A Both assertion (A) and reason (R) are correct and R gives the correct explanation

According to Gay Lussac's Law, if at constant pressure, temperature is increased by $1^{o}C$, volume of gas will increase by $1/273$ or by its volume coefficient, of its volume at $0^{o}C$.
So, if temperature is increased from ${40}^{o}C$ to${41}^{o}C$,change is $1^{o}C$,so volume will increase by $1/273$ of its volume at $273K$
Volume is increasing by $1/273$, means its volume coefficient is $1/273$
Both assertion and reason are correct and R gives the correct explanation, so answer is A.