Physics

Kinetic Theory of Gases

The solar corona is a very hot atmosphere surrounding the visible surface of the sun. X-ray emissions from the corona show that its tomperature is about 2 x 10K. The gas prossuro in the corona is about 0.03 Pa. Part A Estimate the number density of particles in the solar corona Express your answer in particles per meter cubed. IVO AXC ? N- particles/n

2 POILS Large helium-filled balloons are used to lift scientific equipment to high altitudes. What is the pressure in atm inside such a balloon if it starts out at sea level with a tempera of 11.610.0°C and rises to an altitude where its volume is twenty times the original volume and its temperature is -30.1°C ? 0.043

An adiabatic chamber has frictionless insulated piston of mass m. Mass of the remaining chamber including gas is 4m .'n' moles of an ideal monatomic gas is present inside the chamber at atmosphere temperature and pressure. Piston is in rest at equilibrium and confined to move along the length of the cylinder. A particle of mass m moving horizontally with speed v, strikes elastically with the piston. Find the change in temperature of the gas when the compression of the gas is maximum. m m = 0

a With temperature held constant, the pressure of a gas in a cylinder with a movable piston is increased from 14 kPa to 53 kPa. The initial volume of the gas in the cylinder is 0.42 m3. (a) What is the final volume of the gas after the pressure is increased? Part Answer Units X (a) 0.11 Hint 3 m

An ideal gas is taken through a cyclic thermo dynamical process through four steps. The amounts of heat involved in steps are Q1 = 5960J, Q2 = -5585J, Q3 = -2980J, Q4 = 3645J ; respectively, the corresponding works involved are W1 = 2200, W2 = -825J, W3 = -1100J and W4 respectively. Find the value of W4 and efficiency of the cycle A 1315 J, 10% B 765 J, 11% C both of them D none of these

Water of mass m2 = 1 kg is contained in a copper calorimeter of mass mi = 1 kg. Their common temperature t = 10°C .Now a piece of ice of mass m3 = 2 kg and temperature is -11°C dropped into the calorimeter. Neglecting any heat loss, the final temperature of system is. [specific heat of copper = 0.1 Kcal/ kg° C, specific heat of water = 1 Kcal/kg°C, specific heat of ice = 0.5 Kcal/kg°C, latent heat of fusion of ice = 78.7 Kcal/kg] A 0°C B 4°C C -4°C D -2°C

The P-V diagram of a system undergoing a thermodynamic process is shown in figure. Work done by the system in going from A + B + C is 30 J and 40 J heat is given to the system. The change in internal energy of the gas if the gas is directly taken from A to C is P C A 10 J B 70J C 84 J

A sample of an element was poured from one container into a second container. It took on the shape of the second container. It was the cooled. After cooling, the element was removed from the container and kept its new shape. What happened to the atoms of the elemen they were cooled in the second container? O A. They began to move more quickly. B. They stopped being attracted to nearby atoms. OC. They stopped moving past the atoms around them. OD. They began to escape into the air.

3. EN A student performs the experiment and records the following data: Barometric pressure: 741.6 torr Temperature of water bath: 99 °C Volume of flask: 273 mL Mass of condensed vapor: 0.65 g a. The student calculates the molecular weight of the gas to be 2.6 x 10- g/mol. What mistake did he make? b. What is the molecular weight of the gas? Show your calculations.

8. A fixed quantity of an ideal gas has a pressure, volume, and temperature given by P. V. and Tz. respectively. If the gas has its volume tripled and its temperature doubled, find its final pressure in terms of P.

The PV diagram in the figure (Figure 1) shows two possible states of a system containing 1.75 moles of a monatomic ideal gas (R =P = 425 N/m2. Vi = 2.00 m V2 8.00 m.) B Constants (N/m 500+ 400 300 200- 100- r 0 2 4 § 10 V (m2) (N/m2) 500+ 400+ 300 200 100 B 0 10 V (m3) Previous Answers ✓ Correct Part E Find the change in internal energy of the gas for the two-step process B. Express your answer with the appropriate units. Figure < 1 of 1 CHA o ? AU - 2185.66 J 500+ 2 (N/m2) ! 400+ 300+ 200+ 100+ Submit Previous Answers Request Answer X Incorrect; Try Again; 13 attempts remaining 10 V (m) 0 Next > Provide Feedback

3] A gas at unknown pressure at 25°C is enclosed in a rigid container (see the figure below). When the gas is heated to 50°C, the net force on the green-colored upper surface is 25N. If the radius of this green-colored surface is 5 cm, find the pressure of the gas when its temperature was 25°C. [pts 10] 25 cm UMASS

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