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← JEE Main 2015 · 11 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 31 of 90

JEE Main 2015 · 11 Apr · Shift 1, Chemistry question 31

A+2 B+3 C⇌ABX2CX3\ce{A + 2B + 3C <=> AB2C3}

Reaction of 6.0 g of A, 6.0×10236.0\times10^{23} atoms of B, and 0.036 mol of C yields 4.8 g of compound ABX2CX3\ce{AB2C3}. If the atomic mass of A and C are 60 and 80 amu, respectively, the atomic mass of B is (Avogadro no. = 6×10236\times10^{23}) :

Choose one option
Answer and worked solution

Official answer: C

Moles: A 0.1, B 1.0, C 0.036. C is limiting and gives 0.0363=0.012\frac{0.036}3=0.012 mol of product.
M=4.80.012=400=60+2MB+3(80)  ⟹  MB=50 amu.M=\frac{4.8}{0.012}=400=60+2M_B+3(80)\implies M_B=50\text{ amu}.