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The gas is at its highest temperature at point(s)

Correct answer: B. iv only.

  • A. ii only.
  • B. iv only.
  • C. i and ii.
  • D. iii and v.

Explanation

Based on the ideal gas law, PV = nRT, temperature (T) is directly proportional to the product of pressure (P) and volume (V) (T ∝ PV), assuming the number of moles (n) and the gas constant (R) are constant. Therefore, to find the point(s) of highest temperature, we need to identify where the product of P and V is greatest.Let's evaluate the PV product for each labeled point on the graph: * Point i: Pressure (P) = 3 units, Volume (V) = 1 unit. PV = 3 * 1 = 3 * Point ii: Pressure (P) = 3 units, Volume (V) = 2 units. PV = 3 * 2 = 6 * Point iii: Pressure (P) = 1 unit, Volume (V) = 3 units. PV = 1 * 3 = 3 * Point iv: Pressure (P) = 2 units, Volume (V) = 4 units. PV = 2 * 4 = 8 * Point v: Pressure (P) = 1 unit, Volume (V) = 2 units. PV = 1 * 2 = 2Comparing the PV values, Point iv has the highest product (8), which means the gas is at its highest temperature at Point iv.Therefore, the correct answer is B) iv only.

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About Thermal Equilibrium and Heat

Thermal equilibrium means that bodies in contact have the same temperature and no net heat flows between them. The topic distinguishes heat from temperature, uses the zeroth law of thermodynamics, and covers heat transfer, specific heat capacity, thermal expansion and the conditions for reaching equilibrium.

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