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puteri [66]
2 years ago
10

How much work is done when a tire’s volume increases from 35. 25 × 10−3 m 3 to 39. 47 × 10−3 m 3 at a pressure of 2. 55 × 105 pa

in excess of atmos- pheric pressure? is work done on or by the gas?
Mathematics
1 answer:
Kitty [74]2 years ago
3 0

The work done for the isobaric process or constant pressure process will be 23.21 kJ.

<h3>What is work done for an isobaric process?</h3>

The work done for an isobaric process is given by the product of the pressure and the difference between the volume. The formula is given as

WD = P dV

Where P is the pressure (Pascal) and dV is the change in volume (cubic meter).

Work done for the isobaric process or constant pressure process will be

WD = P(V₂ - V₁)

Where V₂ is the final volume and V₁ is the initial volume.

Then we have

WD = 55 x 10⁵ x (39.47 x 10⁻³ - 35.25 x 10⁻³)

WD = 55 x 10⁵ x 4.22 x 10⁻³

WD = 23,210 J

WD = 23.21 kJ

The work done for the isobaric process or constant pressure process will be 23.21 kJ.

More about the work done for an isobaric process link is given below.

brainly.com/question/13089706

#SPJ4

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A college infirmary conducted an experiment to determine the degree of relief provided by three cough remedies. Each cough remed
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p_v = P(\chi^2_{4,0.05} >3.81)=0.43233

Since the p values is higher than the significance level we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences between the 3 remedies analyzed. So we can say that the 3 remedies ar approximately equally effective.

Step-by-step explanation:

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

                               NyQuil          Robitussin       Triaminic     Total

No relief                    11                     13                      9               33

Some relief               32                   28                     27              87

Total relief                7                       9                      14               30

Total                         50                    50                    50              150

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference in the three remedies

H1: There is a difference in the three remedies

The level os significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{50*33}{150}=11

E_{2} =\frac{50*33}{150}=11

E_{3} =\frac{50*33}{150}=11

E_{4} =\frac{50*87}{150}=29

E_{5} =\frac{50*87}{150}=29

E_{6} =\frac{50*87}{150}=29

E_{7} =\frac{50*30}{150}=10

E_{8} =\frac{50*30}{150}=10

E_{9} =\frac{50*30}{150}=10

And the expected values are given by:

                               NyQuil          Robitussin       Triaminic     Total

No relief                    11                     11                       11               33

Some relief               29                   29                     29              87

Total relief                10                     10                     10               30

Total                         50                    50                    50              150

And now we can calculate the statistic:

\chi^2 = \frac{(11-11)^2}{11}+\frac{(13-11)^2}{11}+\frac{(9-11)^2}{11}+\frac{(32-29)^2}{29}+\frac{(28-29)^2}{29}+\frac{(27-29)^2}{29}+\frac{(7-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(14-10)^2}{10} =3.81

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(3-1)=4

And we can calculate the p value given by:

p_v = P(\chi^2_{4,0.05} >3.81)=0.43233

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(3.81,4,TRUE)"

Since the p values is higher than the significance level we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences between the 3 remedies analyzed.

4 0
3 years ago
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