Multiple Choice
Using the Ideal Gas Law, calculate the number of moles of air in a car tire with an internal volume of 30.0 L, a temperature of 20°C, and a pressure of 3.50 atm.
7. Gases
The Ideal Gas Law
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Binary compounds of alkali metals and hydrogen react with water to produce H₂(g). The H₂ from the reaction of a sample of NaH with an excess of water fills a volume of 0.510 L above the water. The temperature of the gas is 35°C and the total pressure is 0.980 atm. Using the Ideal Gas Law, what is the number of moles of H₂ produced?
A
0.020 moles
B
0.015 moles
C
0.025 moles
D
0.030 moles
Verified step by step guidance1
Identify the given values: Volume (V) = 0.510 L, Temperature (T) = 35°C, and Pressure (P) = 0.980 atm.
Convert the temperature from Celsius to Kelvin by adding 273.15 to the Celsius temperature: T(K) = 35 + 273.15.
Use the Ideal Gas Law equation: PV = nRT, where R is the ideal gas constant (0.0821 L·atm/mol·K).
Rearrange the Ideal Gas Law equation to solve for the number of moles (n): n = PV / RT.
Substitute the known values into the equation: n = (0.980 atm * 0.510 L) / (0.0821 L·atm/mol·K * T(K)) and solve for n.
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