Question 1 A parcel of air rising quickly in the atmosphere will decrease in temperature and increase in volume if it does not exchange heat with the surrounding air. For sufciently dry air, the relationship between temperature and volume is given by T"V\"-'1 = C for a constant C, temperature T in Kelvin, and volume V in cubic meters. Let time t be in hours. (JET [a] Find E and explain what it represents. Be sure to include units. dV (b) Find E and explain what it represents. Be sure to include units. (c) Find % assuming that both T and V are functions of time, and explain what it represents. Be sure to include units. (d) Find% if V = 10 m3, T = 295 K and volume is increasing at a rate of 1 m3 every hour. dV (e) Find E assuming that both T and V are functions of time, and explain what it represents. Be sure to include units. dV . (f) Find E if V = 10 m\Question 6 (Optional think about this but don't turn in.) The decibelI dB, is a unit of measurement used to express the ratio of one value of a power to another on a logarithmic scale. Instead of measuring a quantity directly it measures its value relative to a dened reference value. A common application is measuring sound pressure levels. The formula for sound pressure level, 8', in dB, is given by 2 S : 10 log10 (p2) P0 where p is the sound pressure in pascals, Pa, and 190 is the reference sound pressure level, also in Pa. The reference value, pg is commonly taken to be 20 micropascals, that is 20- 10'6 Pa. This is because it is commonly taken that the smallest sound pressure that the human ear is able to detect is 20 micropascals. While we typically use 190 = 20 - 10"3 Pa, we suggest leaving your answers in terms of 130 until the very last step to minimize the amount of writing required. (3 a Find and explain what it represents and what its units are. dp (b) A piano quietly playing the note A above middle C exhibits a sound pressure of p(t) = 0.01 sin(8801rt) d for p in pascals and t in seconds. Find dI: and explain what it represents and what its units are. (c) Determine the maximum sound pressure level the piano from part (b) is exhibiting. d3 ((1) Find E and explain what it represents and what its units are