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Question

A freshly prepared sample of H2 gas having all tritium atoms (3H)with half-life 12.3 years occupies 125 mL at 500 kPa and 300 K. The activity of the sample is:
  1. 1448 Ci
  2. none of these
  3. 3548 Ci
  4. 2645 Ci

A
3548 Ci
B
1448 Ci
C
none of these
D
2645 Ci
Solution
Verified by Toppr

n=PVRT=500kPa×1atm101.325kPa×0.125L1×0.0821Latm/mol/K×300K=0.025mol

λ=0.693t1/2=0.69312.3×365×24×3600

dNdt=λN=0.69312.3×365×24×3600×0.025×2×6.023×1023×1Ci3.7×1010dps1448Ci

Thus, the activity of the sample is 1448 Ci

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