Question

The volume of a given mass of gas is 300 cm³ at 27 degrees Celsius and 700 mmHg. What will be its volume at 36 degrees Celsius and 750 mmHg?

A) 255.05 cm³
B) 315.83 cm³
C) 270.15 cm³
D) 302.40 cm³

Answer 1

The volume of the gas at 36 degrees Celsius and 750 mmHg is calculated to be 315.83 cm³ using the combined gas law; therefore, the correct answer is (B) 315.83 cm³.

Step-by-step explanation:

The volume of a given mass of gas can be found at different temperatures and pressures using the combined gas law, which is P1V1/T1 = P2V2/T2, where P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures in Kelvin.

First, convert the temperatures to Kelvin:

• T1 = 27 °C + 273.15 = 300.15 K
• T2 = 36 °C + 273.15 = 309.15 K

Next, apply the combined gas law:
(700 mmHg × 300 cm³) / 300.15 K = (750 mmHg × V2) / 309.15 K

Solving for V2 gives us:

V2 = (700 mmHg × 300 cm³ × 309.15 K) / (750 mmHg × 300.15 K)
V2 = 315.83 cm³

Hence, the correct answer is (B) 315.83 cm³.