Linear Inequations — MATHS STD 11 Science — Question
Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations3 Marks
Question
A solution is to be kept between 30°C and 35°C. What is the range of temperature in degree Fahrenheit?
✓
Answer
We have,
$C_1$ = 30ºC
$\therefore\text{F}_1=\frac{9}{5}\text{C}_1+32$$\Big[\because\text{F}=\frac{9}{5}\text{C}+32\Big]$
$\Rightarrow\text{F}_1=\frac{9}{5}\times30+32$
$\Rightarrow\text{F}_1=9\times6+32$
$\Rightarrow\text{F}_1=54+32$
$\Rightarrow\text{F}_1=86^\circ\text{F}$
Now,
$C^2$ = 35ºC
$\therefore\text{F}_2=\frac{9}{5}\text{C}_2+32$
$\Rightarrow\text{F}_2=\frac{9}{5}\times35+32$
$\Rightarrow\text{F}_2=9\times7+32$
$\Rightarrow\text{F}_2=63+32$
$\Rightarrow\text{F}_2=95^\circ\text{F}$
Hence, the temperature of the solution lies between 86ºF to 95ºF.
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