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Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at NTP. If one bulb is placed in ice and another bulb is placed inside a hot bath, then the pressure of the gas becomes 1 . 5 times. The temperature of the hot bath will be

Options

  1. A100   ° C
  2. B182   ° C
  3. C256   ° C
  4. D546 ° C

Correct answer

D. 546 ° C

Step-by-step solution

Quantity of gas in these bulbs is constant, i.e., initial no. of moles in both the bulbs = final number of moles μ 1 + μ 2 = μ 1 ′ + μ 2 ′ PV R 2 7 3 + PV R 2 7 3 = 1.5 PV R 2 7 3 + 1.5 PV R T ⇒    2 2 7 3 = 1 . 5 2 7 3 + 1.5 T ⇒    T = 8 1 9 K = 5 4 6   ° C

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