Assume that 2.60 mol of an ideal gas of volume V, = 3.50 m’at T, = 290 K is allowed to expand isothermally to volume V, = 7.00 m² at T, = 290 K . Determine (a) the work done by the gas, (b) the %3D heat added to the gas and (c) the change in internal energy of the gas. Ans: W = 4.34×10³ J.Q = 4.34×10³ J.AU = 0
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- A 2.00 mol sample of an ideal diatomic gas at a pressure of 1.10 atm and temperature of 420 K undergoes a process in which its pressure increases linearly with temperature. The final temperature and pressure are 720 K and 1.70 atm . Fid the change in internal energy, work done by the gas, and heat added.A monatomic ideal gas initially fills a V0 = 0.35 m3 container at P0 = 75 kPa. The gas undergoes an isobaric expansion to V1 = 1.5 m3. Next it undergoes an isovolumetric cooling to its initial temperature T0. Finally it undergoes an isothermal compression to its initial pressure and volume. 1. Calculate the heat absorbed Q2, in kilojoules, during the isovolumetric cooling (second process). 2. Calculate the change in internal energy by the gas, ΔU2, in kilojoules, during the isovolumetric cooling (second process). 3. Calculate the work done by the gas, W3, in kilojoules, during the isothermal compression (third process). 4. Calculate the change in internal energy, ΔU3, in kilojoules, during the isothermal compression (third process). 5. Calculate the heat absorbed Q3, in kilojoules, during the isothermal compressions (third process).Suppose a monatomic ideal gas is changed from state A to state D by one of the processes shown on the PV diagram. PA Isotherms P₂2 atm P₁ atm A kJ E IN T B C 1 1 L I 4.00L 8.00L 16.0L V where P₁ = 1.10 and P₂ = 2.20. mat is the total work done on the gas if it follows the constant-temperature path AC followed by the constant-pressure path CD?
- An ideal gas initially at 280 K undergoes an isobaric expansion at 2.50 kPa. The volume increases from 1.00 m3 to 3.00 m³ and 11.2 k) is transferred to the gas by heat. (a) What is the change in internal energy of the gas? kJ (b) What is the final temperature of the gas? K Need Help? Read It Master ItThe PV diagram shows the compression of 40.9 moles of an ideal monoatomic gas from state A to state B. Calculate Q, the heat added to the gas in the process A to B. Data: PA= 1.90E+5 N/m2 VA= 1.83E+0 m3 PB= 1.01E+5 N/m2 VB= 8.90E-1 m3›44A 1.70-mol sample of hydrogen gas is heated at constant pressure from 302 K to 426 K. (a) Calculate the energy transferred to the gas by heat. kJ (b) Calculate the increase in its internal energy. k] (c) Calculate the work done on the gas. kJ