Chapter 42: Q91P (page 1307)

If the unit for atomic mass were defined so that the mass of $^{1} H$ were exactly 1.000 000 u, what would be the mass of(a) localid="1661600852143" $^{12} C$ (actual mass 12. 000 000 u ) localid="1661600855467" $^{238} U$ and (b) (actual mass 238.050 785 u)?

Short Answer

Expert verified

The mass of $^{12} C$ is 11.90683u.
The mass of $^{238} U$ is 236.2025u .

Step by step solution

The given data

Actual mass of $^{12} C, m = 12.000000 u$ ,
Actual mass of $^{238} U m = 238.050785 u$ ,

Understanding the concept of actual mass

With the assumption that the hydrogen actual mass would be 1 unit, determine that the hydrogen mass value is the extra factor that got omitted. Thus, every mass of the elements would change by the factor of mass of hyudrogen.

a) Calculate the mass of carbon-12

In terms of the original value of u, the newly defined u is greater by a factor of 1.007825. So the mass of $^{1} H$ would be 1.000000 u, the mass of $^{12} C$ would be

$\frac{12.000000 u}{1.007825} = 11.90683 u .$

Hence, the mass of carbon will be 11.90683u .

b) Calculate the mass of uranium-238

Similarly, the mass of uranium $^{238} U$ wou

ld be

$\frac{238.050785 u}{1.007825} = 236.2025 u$

Hence, the value of the mass of uranium is 236.2025u .

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If the unit for atomic mass were defined so that the mass of $^{1} H$ were exactly 1.000 000 u, what would be the mass of(a) localid="1661600852143" $^{12} C$ (actual mass 12. 000 000 u ) localid="1661600855467" $^{238} U$ and (b) (actual mass 238.050 785 u)?

Short Answer

Step by step solution

The given data

Understanding the concept of actual mass

a) Calculate the mass of carbon-12

b) Calculate the mass of uranium-238

One App. One Place for Learning.

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If the unit for atomic mass were defined so that the mass of 1Hwere exactly 1.000 000 u, what would be the mass of(a) localid="1661600852143" 12C(actual mass 12. 000 000 u ) localid="1661600855467" 238Uand (b) (actual mass 238.050 785 u)?

Short Answer

Step by step solution

The given data

Understanding the concept of actual mass

a) Calculate the mass of carbon-12

b) Calculate the mass of uranium-238

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Dynamics

Electrostatics

Solid State Physics

Further Mechanics and Thermal Physics

Turning Points in Physics

Study anywhere. Anytime. Across all devices.

If the unit for atomic mass were defined so that the mass of $^{1} H$ were exactly 1.000 000 u, what would be the mass of(a) localid="1661600852143" $^{12} C$ (actual mass 12. 000 000 u ) localid="1661600855467" $^{238} U$ and (b) (actual mass 238.050 785 u)?