Question

A 150.0 mg block at 22.5⁰C has a volume of 5,382 cm³.

Which answer choice represents BOTH the correct temperature of the block in Kelvin AND the correct density of the block in g/cm³?


72.5 ⁰K; 2.78 x 10⁻⁵ g/cm³


296 ⁰K; 3.59 x 10⁴ g/cm³


-250 ⁰K; 3.59 x 10⁻⁴ g/cm³


296 ⁰K; 2.78 x 10⁻⁵ g/cm³

Answer 1

Density is the ratio of mass and volume. The temperature in kelvin is 296 kelvin and the density of the block is 2.78 x 10⁻⁵ g/cm³. Thus, option D is correct.

What is density?

Density is the gms of the substance present in a cubic centimeter of volume. It is calculated in g/ cm³.

Given,

Mass of the block = 150.0 mg

Volume = 5382 cm³

Density is calculated as:

D = Mass ÷ volume

= 0.15 gm ÷ 5382 cm³

= 2.78 × 10⁻⁵ gm/ cm³

Temperature from Celsius to kelvin is converted as:

0°C + 273.15 = 273.15K

22.5 + 273.15 = 295.65 Kelvin

Therefore, option D. 296⁰K; 2.78 x 10⁻⁵ g/cm³ is correct.

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