QuestionAugust 15, 2025

Consider a gas cylinder that contains 5.79 moles of N_(2)(g) No other gas molecules are present inside the cylinder. The volume occupied by the gas is 1,219.06 mL when the temperature of the cylinder is 298 K What is the pressure in the cylinder? Express your answer in units of atm using at least three significant figures. square

Consider a gas cylinder that contains 5.79 moles of N_(2)(g) No other gas molecules are present inside the cylinder. The volume occupied by the gas is 1,219.06 mL when the temperature of the cylinder is 298 K What is the pressure in the cylinder? Express your answer in units of atm using at least three significant figures. square
Consider a gas cylinder that contains 5.79 moles of N_(2)(g) No other gas molecules are present
inside the cylinder. The volume occupied by the gas is 1,219.06 mL when the temperature of the
cylinder is 298 K What is the pressure in the cylinder? Express your answer in units of atm using
at least three significant figures.
square

Solution
4.7(250 votes)

Answer

115.8 atm Explanation 1. Convert Volume to Liters Convert 1,219.06 mL to liters: 1,219.06 \text{ mL} = 1.21906 \text{ L}. 2. Apply Ideal Gas Law Use the formula **PV = nRT** where P is pressure, V is volume, n is moles, R is the ideal gas constant (0.0821 \text{ L atm/mol K}), and T is temperature in Kelvin. 3. Solve for Pressure Rearrange the formula to solve for P: P = \frac{nRT}{V}. Substitute values: P = \frac{5.79 \times 0.0821 \times 298}{1.21906}.

Explanation

1. Convert Volume to Liters<br /> Convert 1,219.06 mL to liters: $1,219.06 \text{ mL} = 1.21906 \text{ L}$.<br />2. Apply Ideal Gas Law<br /> Use the formula **$PV = nRT$** where $P$ is pressure, $V$ is volume, $n$ is moles, $R$ is the ideal gas constant ($0.0821 \text{ L atm/mol K}$), and $T$ is temperature in Kelvin.<br />3. Solve for Pressure<br /> Rearrange the formula to solve for $P$: $P = \frac{nRT}{V}$. Substitute values: $P = \frac{5.79 \times 0.0821 \times 298}{1.21906}$.
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