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The volume of a chemical solution in a tank is described by
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20 May 2020, 08:54
20 May 2020, 08:54
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58% (03:20) correct
41% (03:42) wrong based on 34 sessions
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The volume of a chemical solution in a tank is described by the formula \(\frac{kT^2c}{p}\), where k is a constant, T is the p temperature, c is the concentration of the chemical solution, and p is the atmospheric pressure. The solution in the tank can be either hot or cold. When hot, c is half of what it is when cold, p is double what it is when cold, and T is triple what it is when cold. If the tank can be no more than \(\frac{3}{4}\) full when hot for safety reasons, what is the maximum fraction of capacity to which 4 the tank can be filled when the solution is cold?
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\(\frac{1}{3}\)
Re: The volume of a chemical solution in a tank is described by
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20 May 2020, 08:55
20 May 2020, 08:55
1
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Re: The volume of a chemical solution in a tank is described by
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18 Jun 2020, 08:34
18 Jun 2020, 08:34
3
Carcass wrote:
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Values of c p and T in cold condition
c p and T
Values of c p and T in hot condition
c/2 2*p and 3*T
Accordingly the volume of chemical in hot condition
[k*(3*T)^2*(c/2)][/(2*p)]
[9*k*(T^2)*c][/(4*p)]
This is equal to (3/4)th of capacity (C)
Therefore C = [3*k*(T^2)*c][/p]
The volume of the chemical in cold condition will be
[k*T^2*c][/p]
which is (1/3)rd of C
