At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?

Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole.)

(II) A scuba tank is filled with air to a gauge pressure of204 atm when the air temperature is 29°C. A diver then jumpsinto the ocean and, after a short time on the ocean surface,checks the tank’s gauge pressure and finds that it is only191 atm. Assuming the diver has inhaled a negligible amountof air from the tank, what is the temperature of the oceanwater?

A sample of argon gas is at a pressure of 1.5 x 105 Pa and a temper- ature of 350 K. (a) Determine the number of argon atoms per unit volume. (b) Estimate the speed of the argon atoms between collisions. (c) Estimate the number of collisions that a single atom of argon makes per second. The diameter of an argon atom is approxi- mately 3.4 x 10-10 m.

A liquid has a density r. (a) Show that the fractional change in density for a change in temperature ΔT is Δρ/ρ = -β ΔT. (b) What does the negative sign signify? (c) Fresh water has a maximum density of 1.000 0 g/cm3 at 4.0°C. At 10.0°C, its density is 0.999 7 g/cm3. What is β for water over this temperature interval? (d) At 0°C, the density of water is 0.999 9 g/cm3. What is the value for β over the temperature range 0°C to 4.00°C?

Consider a given volume of helium gas at room temperature (20.0 °C). [Molar mass of helium is 4.00 × 10-³ kg mol−1] (i) Calculate the average speed of a molecule of the gas. Give your answer in scientific notation and specified to an appropriate number of significant figures, in the empty box below. = m s−1 (ii) At what temperature would the average translational energy of the gas be one third of the average translational energy at room temperature? Give your answer by entering numbers, specified to an appropriate number of significant figures, into the empty box below. temperature = K

Given R= 8.31 J mol·' K-' mol-', k= 1.38 x10-23 J K', NA = 6.23 x 1023 mol·1 2. A balloon of diameter 20.0 cm is filled with helium gas at 30°C at 1.00 atm. a) How many atoms of helium gas fill a balloon having a diameter of 20.0 cm at 30 °C at 1.00 atm? [ans: 1.02 x 1021 helium's atoms] b) Calculate the average kinetic energy of the helium atoms [ans: 6.27x10-21 J]

32. (I) The oxygen molecule (O₂) has a diameter of 3 × 10-10 m. At a pressure of 10-8 Pa (in a vacuum system) and a temper- ature of 300 K find: (a) the number of molecules per cm³; (b) the mean free path.

Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the following correlation: q10(72,) where e = viscosity (N/s•m²) T- temperature (K) - 2.414 x 10-s 2 - 247.8 (K) s = 14 0 (K) What is the appropriate unit for q, if the above equa- tion is to be homnogeneous in units?