Question

A sample of a given mass of a gas at a constant temperature occupies 95 cm³ under a pressure of 9.962 x 10⁴ Nm^-2. At the same temperature its volume at a pressure of 10.13 x 10⁴ Nm^-2 is

(a) 190 cm³

(b) 93 cm³

(c) 46.5 cm³

(d) 47.5 cm³

Answer 1

Correct option is (b) 93 cm³

According to boyle's law At constant temperature

\(P \propto \frac 1V\)

PV = Constant

P₁V₁ = P₂V₂

Given

P₁ = 9.962 × 10⁴ N/m²

V₁ = 95cm³

P₂ = 10.13 × 10⁴ N/m²

V₂ = \(\frac{95 \times 9.962\times 4}{10.13 \times 10^4}\) = 93.42 cm³