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A CERTAIN HYDRATE HAS THE FORMULAMGSO4.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 ?

Sumeet Garg , 13 Years ago
Grade 11
anser 3 Answers
Pramod J AskiitiansExpert-IIT-B

Last Activity: 13 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.

Gourav Chakraborty

Last Activity: 6 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

Rudra Sohani

Last Activity: 5 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 

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