Question

what is the temperature of a gas inside a 3750 mL balloon filled with 0.877 g of He gas and with an internal pressure of 239.2 kPa

Answer 1

Temperature of a gas = 492.6 K

Step-by-step explanation

Given:

Volume of a gas = 3750 mL = 3.750 L

mass of the gas = 0.877 g

Pressure = 239.2 kPa

We know that R = 8.314 kPa. L/K. mol

Required: Temperature of a gas

Solution

Step 1: Calculate the number of moles of He

n = m/M where n is the moles, m is the mass and M is the molar mass

n = 0.877g/4.0026g/mol

n = 0.219 mol

Step 2: Solve for temperature

To solve this problem, we will use the ideal gas law:

pV = nRT

T = pV/nR

T = (239.2 kPa x 3.750 L)/(0.219 mol x 8.314 kPa. L/K. mol)

T = 492.6 K