Question

By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10% at a constant temperature?(a) 8.1 %(b) 9.1 %(c) 10.1 %(d) 11.1 %

Answer 1

Answer:

d) 11.1%

Explanation:

At a constant temperature, the ideal gas equation will be where -

PV = constant. (According to the Boyle's law)

Thus according to the question

(PV) initial = (PV)final

Final volume = 0.9x initial volume

Thus,

PV=P'x  (0.9V)

Thus the final pressure

= (10/9)x initial pressure

Hence, the % increase in pressure = 100/9

= 11.11%

Thus, the pressure of a given mass of a gas should be increased by 11.1% so as to decrease its volume by 10% at a constant temperature