PHY4B Practice Learning Assessment 1 PDF

PHY4B Practice Learning Assessment 1 Name: ˆ Get your formula sheet ready, take a deep breath, and be proud of what you’ve learned. ˆ Make sure your calculator does not connect to the internet. ˆ Write the steps and formulas you use along the way. Remember units! ˆ Ask clarifyin...

PHY4B Practice Learning Assessment 1 Name: ˆ Get your formula sheet ready, take a deep breath, and be proud of what you’ve learned. ˆ Make sure your calculator does not connect to the internet. ˆ Write the steps and formulas you use along the way. Remember units! ˆ Ask clarifying questions, and make sure you understand each question. constants and conversions J R = 8.314 mol·K k = 1.88 ×10−23 J/K 1 atm = 101,325 Pa NA = 6.022 ×10−23 /mol expansion coefficients steel α = 12.2 × 10−6 /K gasoline β = 950 × 10−6 /K specific and latent heats J ice c = 2100 kg·K J liquid water c = 4186 kg·K water Lf = 333 Jg molar masses g carbon M = 12.0 mol g nitrogen M = 14.0 mol g oxygen M = 16.0 mol Please sign the honor pledge below: I pledge on my honor that I have not given or received any unauthorized assistance on this examination. Signature: 1. A 5.40 m3 closed steel container contains 5.00 m3 of liquid gasoline and 0.40 m3 of gaseous nitrogen at 20o C and 1.00 atm. The temperature of the container and its contents is then raised to 60o C. Ignore any vapor pressure of gasoline. (a) Calculate the volume of the container. (b) Calculate the volume of the gasoline. (c) Calculate the pressure of the nitrogen. 2. 100 g of ice at -20.0o C is added to 200 g water at 80.0o C. (a) What’s the equilibrium temperature of the sample? (Assume no heat lost to the environment.) (b) At equilibrium, how much of the sample will be ice and how much will be water? (c) Calculate the entropy increase of the ice, the entropy decrease of the water, and the total change in entropy. 3. A tank holds 55.0 kg of nitrogen (N2 ) at 2,200 kPa and 20o C. (a) Calculate the internal energy of the sample (due to translation and rotation). (b) Calculate the rms velocity of the nitrogen molecules. (c) Calculate the most probable velocity of the nitrogen molecules. 4. A sample of oxygen gas (O2 ) is taken through the thermodynamic cycle shown in the diagram. The temperature at A is 250 K, Po = 200 kPa, and Vo = 1.20m3. (a) Calculate the temperatures at points B and C. (b) How many grams of oxygen are in the sample? (c) For each step in the cycle, calculate ∆Eint and W. (d) For each step in the cycle, calculate ∆S and Q. Scratch paper. Usually, anything you write on this page will not be graded. If you need extra space to write a solution, please indicate that your solution is on this page on another page (so that I look!)