Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Classical Mechanics

Statistical Thermodynamics

Concept Quizzes

Zeroth law of thermodynamics
Second law of thermodynamics
Equilibrium
Ideal gas law

Challenge Quizzes

Statistical Thermodynamics: Level 1-2 Challenges
Statistical Thermodynamics: Level 3-5 Challenges

Ideal gas law

Consider an oxygen gas with a volume of $1000 \text{ cm}^3$ at $45.0^\circ\text{C}$ and $1.03 \times 10^5 \text{ Pa}.$ If it expands until its volume is $1600 \text{ cm}^3$ and its pressure is $1.06 \times 10^5 \text{ Pa},$ what is the approximate final temperature of the gas?

The value of the gas constant is $R=8.31 \text{ J/mol}\cdot\text{K}.$

312.8^\circ\text{C}

125.1^\circ\text{C}

166.8^\circ\text{C}

250.3^\circ\text{C}

Show explanation

View wiki

by Brilliant Staff

When the temperature is $0.00^\circ\text{C},$ a tire has a volume of $1.63 \times 10^{-2} \text{ m}^3$ and a gauge pressure of $170 \text{ kPa}.$ Assuming that the atmospheric pressure is $1.01 \times 10^5 \text{ Pa},$ what is the approximate gauge pressure of the air in the tires when its temperature rises to $27.0^\circ\text{C}$ and its volume increases to $1.68 \times 10^{-2} \text{ m}^3?$

241\text{ kPa}

289\text{ kPa}

342\text{ kPa}

188\text{ kPa}

Show explanation

View wiki

by Brilliant Staff

Suppose a cylinder containing $8 \text{ L}$ of oxygen gas. The temperature and pressure of it is $20^\circ\text{C}$ and $12 \text{ atm},$ respectively. If the temperature is raised to $36 ^\circ\text{C},$ and the volume is reduced to $6.5 \text{ L},$ what will be the approximate final pressure of the gas in atmospheres?

Assume that the gas is ideal.

10.4\text{ atm}

31.0\text{ atm}

26.6\text{ atm}

15.6\text{ atm}

Show explanation

View wiki

by Brilliant Staff

If one mole of ideal gas expands at a constant temperature $T$ of $320 \text{ K}$ from an initial volume $V_i$ of $15 \text{ L}$ to a final volume $V_f$ of $19 \text{ L},$ Approximately how much work is done by the gas during the expansion?

The value of the gas constant is $R=8.31 \text{ J/mol}\cdot\text{K}.$

754\text{ J}

629\text{ J}

943\text{ J}

440\text{ J}

Show explanation

View wiki

by Brilliant Staff

Suppose that $1.25 \times 10^{14}$ particles traveling in the positive $x$ -direction in a vacuum chamber at a speed of $3.00 \times 10^7 \text{ m/s}$ strike a circular target of radius $4.00 \text{ mm}$ during $4.00 \times 10^{-8} \text{ s}.$ The mass of each particle is $9.11 \times 10^{-31} \text{ kg}.$ What is the average pressure felt by the target, assuming that all the particles penetrate the target and are absorbed?

2.55 \times 10^3 \text{ Pa}

1.70 \times 10^3 \text{ Pa}

4.25 \times 10^2 \text{ Pa}

3.40 \times 10^2 \text{ Pa}

Show explanation

View wiki

by Brilliant Staff