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katovenus [111]
2 years ago
7

What is the density of water?

Mathematics
2 answers:
earnstyle [38]2 years ago
8 0
1 g/cm3<span>Water has its maximum density of <span>1g/cm3</span> at 4 degrees Celsius. When the temperature changes from either greater or less than 4 degrees, the density will become less then <span>1 g/cm3</span>. Water has the maximum density of <span>1 g/cm3</span> only when it is pure water.</span>
user100 [1]2 years ago
6 0
It has a density of <span>997 kg/m³ </span>
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Reuben can type 48 words in 8 minutes what is the rate in words per minute ?
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Charlie runs at a speed of 3 yards per second.about how many miles does Charlie run
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Determining slope and y-intercept
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Step-by-step explanation:

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(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
slavikrds [6]

Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

b. C_{0}=122

c. k=-0.00259

d. t=153.39838\\ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

Tm=68

\frac{dT}{dt}=k(T-Tm); T(0)=190

b. The differential equation obtained is a differential equation of separable variables:

\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

c. After 33 minutes of serving the coffee has cooled to 180°:

T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

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3 years ago
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