(Solved): 8,9,10,11 8) A fire breaks out, raising the ambient temperature by 224.0K while 82.0g of gas lea ...

8) A fire breaks out, raising the ambient temperature by $224.0\mathrm{K}$ while $82.0\mathrm{g}$ of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank. a) $514\mathrm{K},4.01\mathrm{mol}$ b) $293\mathrm{K},2.34\mathrm{mol}$ c) $852\mathrm{K},4.01\mathrm{mol}$ d) $10\mathrm{K},782\mathrm{mol}$ 9) When you suddenly stand up after lying down for a while, your body may not compensate quickly enough for the pressure changes and you might feel dizzy for a moment. If the gauge pressure of the blood at your heart is $12.13\mathrm{kPa}$ and your body doesn't compensate, what would the pressure be at your head, $45.3\mathrm{cm}$ above your heart? (assume blood mass density $=1060\mathrm{kg}/{\mathrm{m}}^3$ ) a) $4.54\mathrm{kPa}$ b) $7.42\mathrm{kPa}$ c) $201\mathrm{kPa}$ d) $15.2\mathrm{kPa}$ 10) From the above question: If the gauge pressure of the blood at your heart is $12.13\mathrm{kPa}$ and your body doesn't compensate, what would it be at your feet, $1.30\times 10^2\mathrm{cm}$ below your heart? (assume blood mass density $=1060\mathrm{kg}/{\mathrm{m}}^3$ ) a) $25.6\mathrm{kPa}$ b) $4.53\mathrm{kPa}$ c) $154\mathrm{kPa}$ d) $0.23\mathrm{kPa}$ 11) For 2 moles of He gas inside a cylinder at 20 degrees Celsius: Find the total internal energy of the He gas. a) $7.3\mathrm{kJ}$ b) $5.1\mathrm{kJ}$ c) $0.25\mathrm{kJ}$ d) $120\mathrm{kJ}$