Multiple Choice
Which of the following correctly defines the conditions for standard temperature and pressure (STP) in chemistry?
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7. Gases
Standard Temperature and Pressure
Multiple Choice
What is the pressure inside a 1.5-L container that is charged with 3.0 moles of a gas at 35.0℃?
A
8.6 atm
B
5.7 atm
C
50.5 atm
D
75.9 atm
E
114 atm
Verified step by step guidance1
First, identify the ideal gas law equation, which is \( PV = nRT \), where \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is the temperature in Kelvin.
Convert the temperature from Celsius to Kelvin using the formula \( T(K) = T(\degree C) + 273.15 \). For this problem, \( T = 35.0 + 273.15 \).
Use the ideal gas constant \( R = 0.0821 \text{ L atm mol}^{-1} \text{ K}^{-1} \) for calculations involving pressure in atmospheres.
Substitute the known values into the ideal gas law equation: \( P \times 1.5 \text{ L} = 3.0 \text{ moles} \times 0.0821 \text{ L atm mol}^{-1} \text{ K}^{-1} \times T(K) \).
Solve for \( P \) by rearranging the equation: \( P = \frac{3.0 \times 0.0821 \times T(K)}{1.5} \). Calculate \( P \) using the values obtained from the previous steps.
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