What is the volume of a gas at 50.0°c and 0.80 atm, if there are 0.75 moles of the gas
present?

The volume of gas is 24.9 L. The volume can be calculated using the Ideal Gas Equation which relates the pressure, volume, temperature, and amount of gas to each other.  

Further Explanation

The Ideal Gas Equation is:  

where:

P - pressure (in atm)

V - volume (in L)

n - amount of gas (in moles)

R - universal gas constant

T - temperature (in K)

In the problem, we are given the values:

P = 0.80 atm (2 significant figures)

V =  ?

n = 0.75 moles (2 significant figures)

T = 50.0 degrees Celsius (3 significant figures)

We need to convert the temperature to Kelvin before we can use the Ideal Gas Equation. The formula to convert from degree Celsius to Kelvin is:

Therefore, for this problem,

Solving for V using the Ideal Gas Equation:

The least number of significant figures is 2, therefore, the final answer must have only 2 significant figures.  Hence, the volume is 24.9 L.

Learn More

1. Learn more about Boyle's Law  

2. Learn more about Charles' Law

3. Learn more about Gay-Lussac's Law

Keywords: Ideal Gas Law, Volume, Pressure