To rearrange the formula p=m*g*h*t for t, you would first divide both sides of the equation by (m*g*h) to isolate t. This would give you t = p / (m*g*h). This rearranged formula allows you to calculate the time (t) by dividing the power (p) by the product of mass (m), acceleration due to gravity (g), and height (h). **

The story represented in the T-H diagram is the thermodynamic process undergone by a substance. The diagram shows how the temperature and enthalpy of the substance change as it goes through different states or phases, such as solid, liquid, or gas. By analyzing the T-H diagram, one can understand the energy interactions and transformations that occur during the process, providing valuable insights into the behavior of the substance under different conditions. **

To rearrange the formula p=m*g*h*t to solve for t, you need to isolate the variable t on one side of the equation. Start by dividing both sides of the equation by (m*g*h) to get t by itself. The rearranged formula will be t = p / (m*g*h). This will give you the value of time (t) when you input the values of mass (m), acceleration due to gravity (g), height (h), and power (p). **

The reason "allmählich" is written with an "h" and "Mittag" with only two "t" is due to the different origins of the words. "Allmählich" is derived from the Middle High German word "allemâlîche," where the "h" was originally present. Over time, the spelling of the word evolved to its current form, retaining the "h." On the other hand, "Mittag" comes from the Middle High German word "mittac," which did not have an extra "t" in its spelling. As the word transitioned into modern German, the extra "t" was not added, resulting in the spelling "Mittag" with only two "t." **

The spelling of "allmählich" with an "h" and "Mittag" with only two "t" is due to the different etymological origins of the two words. "Allmählich" is derived from the Middle High German word "allemâlîch," which evolved from the Old High German "allemalîh," where the "h" was pronounced. On the other hand, "Mittag" comes from the Middle High German word "mittac," which did not have an "h" in its spelling. Over time, the spelling of words can change based on their historical development and pronunciation. **

To draw a T-S (temperature-entropy) diagram when given km and km/h, you first need to convert the units to a form that can be plotted on the diagram. To convert km to a unit that can be plotted on the temperature axis, you can use the ideal gas law to relate distance to temperature. To convert km/h to a unit that can be plotted on the entropy axis, you can use the definition of entropy as a measure of disorder or randomness in a system. Once you have converted the units, you can then plot the points on the T-S diagram to represent the given values. **

The height of the burning candle is described by the function h(t) = 2t + 7, where t represents the burning time in hours and h represents the height of the candle in cm. This function indicates that the height of the candle increases at a constant rate of 2 cm per hour, as represented by the coefficient of t. The constant term of 7 indicates that the initial height of the candle is 7 cm. Therefore, as time increases, the height of the candle will increase at a steady rate of 2 cm per hour. **

The reason "allmählich" is written with an 'h' is because it comes from the Middle High German word "allemālīh," where the 'h' was pronounced. Over time, the pronunciation of the 'h' was dropped, but the spelling remained. On the other hand, "Mittag" is written with only two 't' because it follows the standard German spelling rules for compound words. In compound words, the consonant is usually not doubled if it is followed by a vowel. In this case, the 't' in "Mittag" is followed by an 'a,' so it is not doubled. **