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- 2. A gas at 300 K and 1 bar (state 1) flows through an adiabatic compressor and exits at 20 bar and 700 K (state 2). The gas obeys the following equation of state, where a and B are constants. v-B The values are given as a = 10-3 _m³k bar mol the gas at 1 bar is Cp = 30 mol K RT ар + P T and B = 8 x 10-5 m³. The heat capacity of molConsider a gas in a cubical container 22 cm on a side. How many states lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/sp=1.6×10−23 kg⋅m/s (a plausible momentum for a nitrogen molecule in a gas at room temperature)? The number of states that lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/sp=1.6×10−23 kg⋅m/s is ______× 1025.Integrate G(x,y,z) = x² over the sphere x² + y² + z² = 16. Write the integral SS S G(x,y,z) do as a double integral. SSG(x,y,z) do = S π 2π SS 16(4 sin u sin v)² sin v du dv 00
- Solve the equation ( ?2? ??2 = −2??ℏ2 ? ??? 0 ≤ ? ≤ ?) for special case E = 0. Then apply the continuity requirenment at each end of the box to evaluate the two integration constants and thus show that = 0 for E = 0. E = 0 corresponds to n = 0, so n = 0 is not allowed.Evaluate the following commutators d (a) | x, dx d (b) | х, dy d (c) dx d + x dx -B–3. An important continuous distribution is the exponential distribution p(x)dx = ce 0 a.