Asample of gas with a volume of 750 ml exerts a pressure of 98 kpa at 30◦c. what pressure will the sample exert when it is compressed to 250 ml and cooled to −25◦c?
1. 26.7 kpa
2. 359 kpa
3. 353 kpa
4. 241 kpa
5. 39.9 kpa

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j