To calculate the pressure of the sample using the ideal gas law, you can use the formula:
PV=nRT
Where:
P :is the pressure,
V :is the volume,
n :is the number of moles of the gas,
R :is the ideal gas constant,
T :is the temperature in Kelvin.
First, you need to convert the temperature from Celsius to Kelvin:
T(K)=T(°C)+273.15
T=10 °C +273.15=283.15 K
Calculate the moles of N2 :
n= mass/molar mass=7.00g/28g/mol=0.25mol
Now, you can rearrange the ideal gas law to solve for pressure:
P=nRT/V
P=(7.00g/28g/mol ) • (0.821L atm/mol K) • (283.15K) = 2.16 atm
Answer:
The pressure of the sample is approximately 2.16 atm.