Problem#1 (Marks = 20) (Answer in the space provided, show important calculation steps) The following figure shows a tank fitted with an electric resistor of negligible mass holds 2 kg of carbon dioxide (CO?) gas, initially at 25 °C, 100 kPa. Over a period of 10 minutes, electricity is provided to the resistor at a rate of $W_\text{in} = 0.14$ kW. During the same period, a heat transfer of magnitude 14 KJ occurs from the CO? gas to its surroundings. The gas in the tank behaves as an ideal gas. The gas constant is $R = 0.19$ kJ/(kg.K) and specific heat is $C_v = 0.70$ kJ/(kg.K) for CO?. (0 °C = 273 K) Determine: (a) the final temperature $T_2$ of CO?, in °C, and (b) the final pressure $P_2$ of CO? in kPa.
Added by Guillermo S.
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00 kg T1 = 25 °C = 25 + 273 = 298 K P1 = 100 kPa Electrical power = 0.14 kW for 10 min Heat leaving gas = 14 kJ (heat out) Cv = 0.70 kJ/(kg·K) R = 0.19 kJ/(kg·K) (not required for constant-volume calculation) Show more…
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Madhur L.
Find the pressure of (a) 3 atm (in kPa), (b) $2 \mathrm{~atm}$ (in $\mathrm{kPa}$ ), (c) $6 \mathrm{~atm}$ (in $\mathrm{lb} / \mathrm{in}^{2}$ ),(d) $5 \mathrm{~atm}(\mathrm{in} \mathrm{kPa}),(\mathrm{e}) \frac{1}{3} \mathrm{~atm}(\mathrm{in} \mathrm{kPa}),$ and (f) $\frac{1}{4}$ atm (in kPa).
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