Question

6.
A gas occupies a volume of 224 cm and a pressure of 1.51 bars. If the gas expands to a volume of 578 cm,
what will the new pressure be? (Assume the temperature remains constant.)

Answer 1

Answer:

The new pressure is 0.5852 bar

Explanation:

Since the temperature is constant, we can apply Boyle's Law.

Boyle's Law states that at constant temperature, pV = constant

$p_{1}V_{1}=p_{2}V_{2}\\p_{1}=1.51\:bar\\V_{1}=224cm^{2}\\V_{2}=578cm^{2}\\Let\:p_{2}\:be\:the\:new\:pressure.\\p_{2}=\frac{p_{1}V_{1}}{V_{2}}=\frac{1.51\times224}{578}\\ p_{2}=0.5852\:bar$

Therefore, the new pressure is 0.5852 bar