MHT CET · Chemistry · Thermodynamics (C)

The temperature of $32^{o} C$ is equivalent to

A ${89.6}^{o} F$
B ${89.8}^{o} F$
C $1.07 \times 10^{- 7} c m$
D $1.07 \times 10^{- 8} c m$

Verified Solution

Answer & Solution

Correct Answer

(A) ${89.6}^{o} F$

Step-by-step Solution

Detailed explanation

The temperature of

^{o} F

and

^{o} C

are related to each other by the following relationship

^{o} F = \frac{9}{5} (^{o} C) + 32

^{o} F = \frac{9 \times 32}{5} + 32 = 57.6 + 32

^{o} F = 89.6

The temperature of

32^{o} C

is equivalent to

{89.6}^{o} F .

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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The temperature of 32oC is equivalent to

Step-by-step Solution

The temperature of $32^{o} C$ is equivalent to