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← JEE Main 2014 · 19 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 35 of 90

JEE Main 2014 · 19 Apr · Shift 1, Chemistry question 35

For the decomposition of the compound, represented as
NHX2COONHX4(s)⇌2 NHX3(g)+COX2(g)\ce{NH2COONH4(s) <=> 2NH3(g) + CO2(g)}
the Kp=2.9×10−5K_p=2.9\times10^{-5} atm3^3.

If the reaction is started with 1 mol of the compound, the total pressure at equilibrium would be :

Choose one option
Answer and worked solution

Official answer: B

Let pCOX2=pp_{\ce{CO2}}=p, so pNHX3=2pp_{\ce{NH3}}=2p. Then Kp=(2p)2p=4p3=2.9×10−5K_p=(2p)^2p=4p^3=2.9\times10^{-5}, giving p=1.94×10−2p=1.94\times10^{-2} atm.

Total: 3p=5.82×10−23p=5.82\times10^{-2} atm.