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Two spheres made of same material have radii in the ratio 2:1. if both the spheres are at same temperature, then what is the ratio of heat radiation energy emitted per second by them? (a) 1: 4 (b) 4: 1 (c) 3: 4 (d) 4: 3

Two spheres made of same material have radii in the ratio 2:1. if both the spheres are at same temperature, then what is the ratio of heat radiation energy emitted per second by them?
(a) 1: 4
(b) 4: 1
(c) 3: 4
(d) 4: 3

Grade:Upto college level

3 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

The answer is option b

Regards
Vikas TU
14149 Points
one year ago

As molarity of HCl is given 0.1 this means concentration i.e. no. of moles per volume is 0.1 for HCl and same will be for [H+]. As each molecule of HCl gives out 1 H+ ion on ionisation.

now let us come to the PH part

PH=log[H+]

=log(0.1). so PH = 1 (very acidic as per ph scale at 298K)

now we know at 298K P[H+] + P[OH-] = 14 ( as Kw = 10 raised to the power -14)

so P[OH-] = 13

so -log[OH-] = 13

and then the answer [OH-] = 10 raised to power of -13(negative 13)

concentration of OH- ion is so less that it can easily be neglected as compaired to H+ ion’s concentration.

Thank you

Hope you are satisfied by the answer.

Vikas TU
14149 Points
one year ago
Initial rate of cooling is given as:  
 
 
Initial rate of cooling is given as:  
 
 
Q1/Q2 = R1^2 / R2^2 
 
 
 
,.............................................................................
 

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