Question

A 475 cm3 sample of gas at 25c is heated to 45 c. What volume would the gas expand to in order to maintain the same pressure?

Answer 1

Answer:

0.507 L or 507 cm³

Explanation:

Given,

Initial Volume, V1 = 475 cm³or 0.475 L

Initial temperature, T1 = 25 °C or 298.15 K (since, K = °C + 273.15)

Final temperature, T₂ = 45°C or 318.15 K

We can calculate the new volume;

Using the concept of Charles' law ;

$\frac{V1}{T1}=\frac{V2}{T2}$

Therefore,

To get, V2, we use;

$V2=\frac{V1T2}{T1}$

$V2=\frac{(0.475L)(318.15K)}{298.15K}$

$V2=0.507L$

Thus, the gas would expand to a volume of 0.507 L or 507 cm³ to maintain the same pressure.