a mercury in glass thermometer reads -20°C at the ice point and 100°C at the steam point. Calculate celcius temperature corresponding to 70°C on the thermometer
pls, i need your answer
70°c
120/100*90+-20
Well, let's dive right into this icy challenge, shall we? The mercury in glass thermometer reads -20°C at the ice point and 100°C at the steam point. That gives us a range of 120 degrees, with 0°C being the freezing point and 100°C being the boiling point of water.
Now, we need to find the Celsius temperature corresponding to 70°C on the thermometer. Here's the thing: we'll need to convert the thermometer's scale to the Celsius scale. To do that, we divide the range of the thermometer (120°C) by the range of the Celsius scale (100°C). So, we have a conversion factor of 1.2 (120°C / 100°C).
Next, we multiply the temperature on the thermometer (70°C) by the conversion factor (1.2) to get the corresponding Celsius temperature:
70°C * 1.2 = 84°C
Ta-da! According to my calculations, 70°C on the thermometer corresponds to a frosty 84°C on the Celsius scale. Stay cool!
To calculate the Celsius temperature corresponding to 70°C on the thermometer, we'll need to use a linear interpolation formula.
The first step is to determine the range between the ice point and the steam point on the thermometer. In this case, the range is 100°C - (-20°C) = 120°C.
Next, we calculate the fraction of the range that corresponds to the desired temperature on the thermometer. In this case, we want to find the fraction for 70°C:
Fraction = (Desired temperature - Lower reference point) / Range
= (70°C - (-20°C)) / 120°C
= 90°C / 120°C
= 0.75
Now, we multiply this fraction by the range and add it to the temperature of the lower reference point to find the corresponding Celsius temperature:
Temperature = Lower reference point + (Fraction * Range)
= -20°C + (0.75 * 120°C)
= -20°C + 90°C
= 70°C
Therefore, the Celsius temperature corresponding to 70°C on the thermometer is 70°C.