What volume will 5.00 g of N2O gas occupy at 50°C and 12.0 atm?. Created by toyohamasoko. Chemistry

SOLUTION:Step 1: List the given values.Step 2: Calculate the number of moles of the gas.Step 3: Solve for the volume of the gas by using ideal gas equation.Hence, the volume of N₂O gas at 50°C and 12.0 atm is 0.251 L.

What volume will 5.00 g of N2O gas occupy at 50°C and 12.0 atm?...

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toyohamasoko @toyohamasoko

August 2022 1 8 Report

What volume will 5.00 g of N2O gas occupy at 50°C and 12.0 atm?

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GreatRedSpot

SOLUTION:

Step 1: List the given values.

$\begin{aligned} & P = \text{12.0 atm} \\ & mass = \text{5.00 g} \\ & MM = \text{44.013 g/mol} \\ & T = 50^{\circ}\text{C} = \text{323.15 K} \end{aligned}$

Step 2: Calculate the number of moles of the gas.

$\begin{aligned} n & = \frac{mass}{MM} \\ & = \frac{\text{5.00 g}}{\text{44.013 g/mol}} \\ & = \text{0.1136 mol} \end{aligned}$

Step 3: Solve for the volume of the gas by using ideal gas equation.

$\begin{aligned} V & = \frac{nRT}{P} \\ & = \frac{(\text{0.1136 mol})\left(0.082057 \: \dfrac{\text{L}\cdot\text{atm}}{\text{mol}\cdot\text{K}}\right)(\text{323.15 K})}{\text{12.0 atm}} \\ & = \boxed{\text{0.251 L}} \end{aligned}$

Hence, the volume of N₂O gas at 50°C and 12.0 atm is 0.251 L.

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