In the deep space between galaxies, the density of atoms is 1 million atoms per m3 (i.e. there are 1 million atoms in a cubic meter), and the temperature is 3 K. (a) What is the pressure in space? (b) What volume (in cubic meters) is occupied by 100 moles of space gas? (c) If this volume is a cube, what is the length of one its sides in kilometers?

A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.

The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawis so that its position after t seconds is given by where x and y are measured in centimeters. The temperature function satisfles T3, 6) 2 and T(3, 6) -7. How fast is the temperature rising on the bug's path after 2 seconds? (Round your answer to two decimal places.) C/s Need Help? Read Watch Master t

Nuclear scientists have determined that a fourth state of matter exists: plasma. The state of plasma is reached when matter acquires a temperature so high that some of the molecules and atoms are broken down into ions and electrons. Stellar and interstellar matter mostly occur as forms of plasma. On Earth, plasma exists in the ionosphere, in flames, and in chemical and nuclear explosions. Matter in a controlled thermonuclear reactor also exists in a plasma state. Plasma is most like a gas. However, it differs from un-ionized gas in that it is a good conductor of electricity and heat. Scientists hope to understand the occurrence of plasma in nature and to harness it as an inexpensive energy source. 26. Based on the passage, how can the cost of developing thermonuclear power with plasma be defended? A. It is applicable to all technologies. B. A plasma power source can be used without special equipment. C. It can provide an inexpensive power source. bagga bniy D. It is almost perfected…