Question

The volume of a certain mass of a gas was found to be 800 cc when pressure was 760 mm of Hg. If the pressure increases by 50%. Calculate the new volume of the gas, assuming that temperature remains constant.

Answer 1

Step 1: Write the given terms:

Initial volume V₁ = 800cc Final volume V₂=?

Initial pressure P₁=760 mm Final pressure P₂= P₁ + 50% of P₁

Step 2: Find the final pressure = 760+ $\frac{50}{100}$× 760

P₂= 760 + 380

= 1140 mm

Step 3: Find the new volume:

P₁V₁=P₂V_2, (According to Boyle's law at constant temperature)

V₂= $\frac{P_1{V}_1}{P_2}$= $\frac{760\times 800}{1140}$ = 533.3 cc

Step 4: Result

Hence, the new volume of the gas is 533.3 cc.