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Grade 11Physical Chemistry

A CERTAIN HYDRATE HAS THE FORMULA MGSO4.XH2O.A QUANTITY OF 54.2g OF COMPOUND IS HEATED IN AN OVEN TO DRIVE OF THE WATER.IF THE STEAM GENERATED EXERTS THE PRESSURE OF 24.8ATM INA 2.0 L CONTAINER AT 120 C CALCULATE X ?

Profile image of Sumeet Garg
15 Years agoGrade 11
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3 Answers

Profile image of Pramod J AskiitiansExpert-IIT-B
15 Years ago

Dear student,

P=24.8 bar

V = 2l = 0.002 m^3

T = 120 = 393K

PV = mRT/M => m = PVM/RT

=> m = 24.8*10^5*2*10^-3*18/8.314*10^3*393 =0.02732 kg = 27.32g

percent weight of water in the compound = (27.32/54.2)*100 = 50.4

molecular weight of compound = 24+32+64+x*18

=> 120+18x = 0.504*18x => x = 13.33 since x is natural number x is approximated to 13

hope this explains.

Profile image of Gourav Chakraborty
7 Years ago
Given wt =54.2x
Molecular wt =120+18x
Pressure =24.8
Volume=2L
Temp.=393k
Applying ideal gas equation;
I.e pv=nRT
24.8 * 2 = given mass/ molar mass * 0.0821*393
24.8*2=54.2x / (120+18x) * 0.0821*393
After solving we get ; 
X = 6.95 which is approx 7
Profile image of Rudra Sohani
6 Years ago
Given mass of compound =54.2
Moles of compound=54.2/120+18x
One mole of compound will produce x mole of H2O
P=24.8
T=393K
V=2L 
BY PV=nRT
Calculate n and equate it with 54.2x/(120+18x) 
Find x