Question

In an experiment, a solution of hydrochloric acid is to be kept between 35° and 400 celsius. What is the range of temperature in degree fahrenhiet? If conversion formula is given by C = \(\frac{5}{9}\) (F - 32) where C and F represent temperature in degree celsius and degree fahrenheit respectively.

Answer 1

It is given that

35 < C < 40 ........ (1)

Putting formula, C = \(\frac{5}{9}\) (F - 32) in equation (1)

35 < \(\frac{5}{9}\) (F - 32) < 40,

or 9 × 35 < 5 (F - 32) < 40 × 9 (Multiplying by 9)

or 9 × 7 < (F - 32) < 8 × 9 (Dividing by 5)

or 63 < F - 32 < 72

or 63 + 32 < F < 72 + 32

or 95 < F < 104

Thus, required range is from 95° F to 104° F.