Question

14. A gas occupies one litre under atmospheric pressure. What will be the volume of the same amount of gas
under 750 mm of Hg at the same temperature.
(A) 1.0133 lit. (B) 2.0133 lit. (C) 3.0133 lit.
(D) 5.0133​

Answer 1

Correct answer is A.
Explanation:-
Given that,
P1 = 1 litre
V1 = 1 atm
P2 = (750/760) atm (at same T)
V2 = ?
We know that,
P1 * V1 = P2 * V2
=> 1 * 1 = (750/760)* V2
=> V2 = 1.0133 litre. ANS.

Answer 2

The volume of the same amount of gas under 750 mm of Hg at the same temperature is 1.0133 L

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.temperature and number of moles.

$P\propto \frac{1}{V}$     (At constant temperature and number of moles)

$P_1V_1=P_2V_2$  

where,

$P_1$ = initial pressure of gas  = 1 atm = 760 mmHg   (1atm= 760 mmHg)

$P_2$ = final pressure of gas  = 750 mmHg

$V_1$ = initial volume of gas  = 1 L

$V_2$ = final volume of gas  = ?

$760 mmHg\times 1L=750 mmHg\times V_2$  

$V_2=1.0133L$

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