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A gas sample contains 4.4 g of CO2 and 2 g of He. What is the volume of the sample at STP?

User Ajay Mehta
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1 Answer

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Step-by-step explanation:

At STP (standard temperature and pressure), the temperature is 273.15 K and the pressure is 1 atm. We can use the ideal gas law to calculate the volume of the gas sample:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant (0.08206 L·atm/mol·K), and T is the temperature.

First, we need to calculate the number of moles of each gas present in the sample. The molar mass of CO2 is 44.01 g/mol, and the molar mass of He is 4.00 g/mol.

moles of CO2 = mass of CO2 / molar mass of CO2

moles of CO2 = 4.4 g / 44.01 g/mol

moles of CO2 = 0.0998 mol

moles of He = mass of He / molar mass of He

moles of He = 2 g / 4.00 g/mol

moles of He = 0.5 mol

The total number of moles in the gas sample is:

total moles = moles of CO2 + moles of He

total moles = 0.0998 mol + 0.5 mol

total moles = 0.5998 mol

Now, we can use the ideal gas law to calculate the volume of the gas sample:

V = nRT/P

V = (0.5998 mol)(0.08206 L·atm/mol·K)(273.15 K)/(1 atm)

V = 12.96 L

Therefore, the volume of the gas sample at STP is approximately 12.96 L.

User Pablo Lopez
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