Holooly Plus Logo
Holooly Plus Logo

Question 5.4: Ideal Gas Law . 1.00 mole of CH4 gas occupies 20.0 L at 1.00...

Ideal Gas Law . 1.00 mole of CH_{4} gas occupies 20.0 L at 1.00 atm pressure. What is the temperature of the gas in kelvins?

Strategy : Solve the ideal gas law for T and plug in the given values:

The Blue Check Mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.
T=\frac{PV}{nR} =\frac{PV}{n} \times \frac {1}{R} =\frac{(1.00 \cancel{atm})(20.0\cancel{L} )}{1.00 \cancel{mol}} \times \frac{ \cancel{mol} . K}{0.0821 \cancel{L} . \cancel{atm}} =244 K

Note that we calculated the temperature for 1.00 mol of CH_{4} gas under these conditions. The answer would be the same for 1.00 mol of CO_{2} , N_{2} , NH_{3} , or any other gas under these conditions. Note also that we have shown the gas constant separately to make it clear what is happening with the units attached to all quantities. We are going to do this throughout.

 

 

Related Answered Questions

Add 1.95 * 10^-2 and 2.8 * 10^-3.

Verified Answer:
To add these two numbers, we make both exponents -...

Phase Diagram . What will happen to ice at 0°C if the pressure decreases from 1 atm to 0.001 atm?

Verified Answer:
According to Figure 5.20, when the pressure decrea...

Heat of Fusion and Phase Change . What will be the final temperature if we add 1000. cal of heat to 10.0 g of ice at 0°C?

Verified Answer:
Step 1:  This phase change will use 10.0 \...

Heat of Fusion . The heat of fusion of ice is 80. cal/g. How many calories are required to melt 1.0 mol of ice?Strategy : We first convert moles of ice to grams of ice using the conversion factor 1 mol of ice = 18 g of ice. We then use the heat of fusion of ice (80. cal/g) to calculate the

Verified Answer:
1.0 mole of H_{2} O  has a mass of...

Hydrogen Bonding  . Can a hydrogen bond form between (a) Two molecules of methanol, CH3OH? (b) Two molecules of formaldehyde, CH2O? (c) One molecule of methanol, CH3OH, and one of formaldehyde, CH2O?

Verified Answer:
(a) Yes. Methanol is a polar molecule and has a hy...

Dalton’s Law of Partial Pressures . To a tank containing N2 at 2.0 atm and O2 at 1.0 atm, we add an unknown quantity of CO2 until the total pressure within the tank is 4.6 atm. What is the partial pressure of the CO2?

Verified Answer:
If the final pressure is 4.6 atm, the partial pres...

Ideal Gas Law . If 3.3 g of a gas at 40°C and 1.15 atm pressure occupies a volume of 1.0 L, what is the mass of one mole of the gas?Strategy : This problem is more complicated than previous ones. We are given grams of gas and P, T, and V values and asked to calculate the mass of one mole of the gas

Verified Answer:
(1) Use the ideal gas law to calculate the number ...

Ideal Gas Law . If there is 5.0 g of CO2 gas in a 10. L cylinder at 25°C, what is the gas pressure within the cylinder? We are given the quantity of CO2 in grams but, to use the ideal gas law, we must express the quantity in moles. Therefore, we must first convert grams of CO2 to moles CO2, and

Verified Answer:
Step 1: Convert grams of CO_{2} to ...

The Combined Gas Law . A gas in a flexible container has a volume of 0.50 L and a pressure of 1.0 atm at 393 K. When the gas is heated to 500 K, its volume expands to 3.0 L. What is the new pressure of the gas in the flexible container?

Verified Answer:
Step 1: The known quantities are Initial:         ...

The Combined Gas Law . In an autoclave, steam at 100°C is generated at 1.00 atm. After the autoclave is closed, the steam is heated at constant volume until the pressure gauge indicates 1.13 atm. What is the final temperature in the autoclave?

Verified Answer:
Step 1: Convert from degrees C to degrees K. 100°C...