Answer:
(B) The total internal energy of the helium is 4888.6 Joules
(C) The total work done by the helium is 2959.25 Joules
(D) The final volume of the helium is 0.066 cubic meter
Explanation:
(B) ∆U = P(V2 - V1)
From ideal gas equation, PV = nRT
T1 = 21°C = 294K, V1 = 0.033m^3, n = 2moles, V2 = 2× 0.033=0.066m^3
P = nRT ÷ V = (2×8.314×294) ÷ 0.033 = 148140.4 Pascal
∆U = 148140.4(0.066 - 0.033) = 4888.6 Joules
(C) P2 = P1(V1÷V2)^1.4 =148140.4(0.033÷0.066)^1.4= 148140.4×0.379=56134.7 Pascal
Assuming a closed system
(C) Wc = (P1V1 - P2V2) ÷ 0.4 = (148140.4×0.033 - 56134.7×0.066) ÷ 0.4 = (4888.6 - 3704.9) ÷ 0.4 = 1183.7 ÷ 0.4 = 2959.25 Joules
(C) Final volume = 2×initial volume = 2×0.033= 0.066 cubic meter
E all of the answers above correlate to the student and his skateboard
The longitude based on the time difference is 15 degrees.
<h3>Longitude of complete rotation of the Earth</h3>
The longitude of a complete rotation of the earth in a 24 hours is calculated as follows;
![= \frac{360^0}{24} = 15^0 \ of \ longitude](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B360%5E0%7D%7B24%7D%20%3D%2015%5E0%20%5C%20of%20%5C%20longitude)
<h3>Time difference</h3>
The time difference between the local apparent solar time and the Greenwich time is calculated as follows;
![t = 12 pm \ - \ 11 am\\\\t = 1 \ hour](https://tex.z-dn.net/?f=t%20%3D%2012%20pm%20%5C%20-%20%5C%2011%20am%5C%5C%5C%5Ct%20%3D%201%20%5C%20hour)
Since it is one hour time difference, the longitude is 15 degrees.
Learn more about Earth longitude here: brainly.com/question/1939015
(1500 rev/min)(min / 60 s) / (3.0 s) = 8.33 rev/s²
<span>(B) </span>
<span>(1/2)(8.33 rev/s²)(3.0 s)² = 37.5 rev </span>
<span>(C) </span>
<span>(1500 rev/min)(min / 60 s)[2π(0.12 m) / rev] = 18.8 m/s</span>