If a person exhales 25.0 g of CO2 in an hour, what volume does this amount occupy at 1.00 atm and 37 °C?

Question

If a person exhales 25.0 g of [latex]CO_{2}[/latex] in an hour, what volume does this amount occupy at 1.00 atm and 37 °C?
Analysis
Use the ideal gas law to calculate V, since P and T are known and n can be determined by using the molar mass of [latex]CO_{2}[/latex](44.0 g/mol).

Accepted Answer

[1] Identify the known quantities and the desired quantity.

P = 1.00 atm
T = 37 °C 25.0 g [latex]CO_{2}[/latex] V = ? L
known quantities desired quantity

[2] Convert all values to proper units and choose the value of R that contains these units.
• Convert °C to K. K = °C + 273 = 37 °C + 273 = 310. K
• Use the value of R with atm since the pressure is given in atm; that is,R = 0.0821 L · atm/mol · K.
• Convert the number of grams of [latex]CO_{2}[/latex]to the number of moles of [latex]CO_{2}[/latex]using the molar mass (44.0 g/mol).

[3] Write the equation and rearrange it to isolate the desired quantity, V, on one side.
• Use the ideal gas law and solve for V by dividing both sides by P.

[4] Solve the problem.
• Substitute the three known quantities into the equation and solve for V.

Question 6.sp.8: If a person exhales 25.0 g of CO2 in an hour, what volume do...

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