Question

What is the volume of 0.5 moles of gas at a pressure of 150 kPa in a container at a temperature of 190°C?

a) 2.0 L
b) 2.5 L
c) 3.0 L
d) 3.5 L

Answer 1

The volume of 0.5 moles of gas at 150 kPa and 190°C can be determined using the Ideal Gas Law, with the temperature converted to Kelvin and the gas constant R in appropriate units.

Step-by-step explanation:

To determine the volume of 0.5 moles of a gas at a pressure of 150 kPa and a temperature of 190°C, we can use the Ideal Gas Law equation: PV = nRT. Here, P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature in Kelvin.

First, convert the temperature to Kelvin:
T(K) = 190°C + 273.15 = 463.15 K.
Then, use the value of the universal gas constant in the units of kPa·L/mol·K, which is R = 8.314 kPa·L/mol·K.

Now, rearrange the Ideal Gas Law to solve for V:
V = nRT/P
V = (0.5 moles) * (8.314 kPa·L/mol·K) * (463.15 K) / (150 kPa)
The calculations will yield the volume of the gas, which can be compared to the provided options to determine the correct answer.